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Finding the Fourth Proportional to 557.40, 769.19 and 361.02

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Solution

The fourth proportional to 557.40, 769.19 and 361.02 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 769.19 = 361.02 : x
  2. Step 2: Convert to fraction form
    557.40/769.19 = 361.02/x
  3. Step 3: Cross multiply
    557.40x = 769.19 × 361.02
  4. Step 4: Simplify right side
    557.40x = 277,691.17
  5. Step 5: Solve for x
    x = 277,691.17/557.40
  6. Step 6: Final answer
    x = 498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.